They don't live in the mattress. Throwing it out costs you a mattress and changes nothing.

Bed bugs are the pest that punishes half-measures more than any other. They feed on blood, hide within a few metres of where you sleep, and lay eggs cemented into seams and screw holes that most treatments never reach.
The first instinct is almost always to throw out the mattress. It is an expensive way to remove maybe a third of the population. The frame, the slats, the bolt holes, the bed head, the skirting behind it and the power point beside it hold the rest — and dragging an infested mattress through the house spreads them on the way out. A treated bed with a zipped encasement fitted over it does more, for less.
There are two credible approaches. Heat lifts the whole room above the lethal threshold and kills every stage including eggs in one visit, which suits heavy infestations, cluttered rooms and accommodation on a tight turnaround. Targeted chemical treatment costs less and leaves a residual working after we go, but the eggs are shielded, so a second visit is not optional.
Either way, preparation decides the result. Laundry hot-washed and tumbled, belongings bagged, clutter cleared, vacuum bag out of the house. We send the list when you book, treat every harbourage rather than the bed alone, and return to verify.
Worth doing whether or not you book us — most re-infestations trace back to one of these.
Licensed technician, fixed pricing, 12-month warranty on covered work.